anonymous
  • anonymous
(5,1) is a solution to the equation 2x - 3y = 7. What does this mean?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Think of the line graph of that equation. It is really just all the individual points that make it true (the left equals the right). So the x,y coordinates x=2 and y= -1 can be substituted for their variables on the left side of the equation and the equation will simplify down to 7 = 7 , which is true. So the point (2,-1) will be found on the line graph of that equation. Substituting 5 for x and 1 for y also makes the equation 7=7 after simplifying so the point (5,) is a solution and also happens to be on the line for the function: 2x-3y=7. Note: x=4 and y=1 give 8-3=7 which is NOT true so (4,1) is said NOT to satisfy the equation and is NOT a solution for the function 2x - 3y = 7.
anonymous
  • anonymous
[ ... and (4,1) is NOT found on the graph of 2x-3y=7. ]

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